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Finding the Fourth Proportional to 610,672.42, 842,705.13 and 342,383.14

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Solution

The fourth proportional to 610,672.42, 842,705.13 and 342,383.14 is: 472,475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,672.42 : 842,705.13 = 342,383.14 : x
  2. Step 2: Convert to fraction form
    610,672.42/842,705.13 = 342,383.14/x
  3. Step 3: Cross multiply
    610,672.42x = 842,705.13 × 342,383.14
  4. Step 4: Simplify right side
    610,672.42x = 288,528,028,503.51
  5. Step 5: Solve for x
    x = 288,528,028,503.51/610,672.42
  6. Step 6: Final answer
    x = 472,475.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.